Proceedings of the XXII World Congress of Philosophy

Volume 41, 2008

Philosophy of Mathematics

AhtiVeikko Pietarinen
Pages 19-25

Why Pragmaticism is Neither Mathematical Structuralism nor Fictionalism

Despite some surface similarities, Charles Peirce’s philosophy of mathematics, pragmaticism, is incompatible with both mathematical structuralism and fictionalism. Pragmaticism has to do with experimentation and observation concerning the forms of relations in diagrammatic and iconic representations of mathematical entities. It does not presuppose mathematical foundations although it has these representations as its objects of study. But these objects do have a reality which structuralism and fictionalism deny.